Optical-lattice-influenced geometry of quasi-two-dimensional binary condensates and quasiparticle spectra

Suthar, K. M.; Angom, D.

doi:10.1103/physreva.93.063608

Cited by 28 publications

(30 citation statements)

References 66 publications

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“…The behaviour of the latter is ruled by the competition among tunnelling processes (resulting from the spatial fragmentation of the condensates into separated wells), intra-and the inter-species couplings. Such interplay among different contributions in the overall energy balance of the system results, among the rest, in a rich scenario of mixing-demixing quantum phase transitions [5,6,7,8,9], in the emergence of novel quantum phases [10,11,12], in the possibility of entangling [13,14] the two bosonic species, and in that of triggering peculiar dynamical regimes [15,16].…”

Section: Introductionmentioning

confidence: 99%

Quantum-Granularity Effect in the Formation of Supermixed Solitons in Ring Lattices

Richaud

Penna

2020

Condensed Matter

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We investigate a notable class of states peculiar to a bosonic binary mixture featuring repulsive intraspecies and attractive interspecies couplings. We evidence that, for small values of the hopping amplitudes, one can access particular regimes marked by the fact that the interwell boson transfer occurs in a jerky fashion. This property is shown to be responsible for the emergence of a staircase-like structure in the phase diagram of a mixture confined in a ring trimer and to strongly resemble the mechanism of the superfluid-Mott insulator transition. Under certain conditions, in fact, we show that it is possible to interpret the interspecies attraction as an effective chemical potential and the supermixed soliton as an effective particle reservoir. Our investigation is developed both within a fully quantum approach based on the analysis of several quantum indicators and by means of a simple analytical approximation scheme capable of capturing the essential features of this ultraquantum effect. arXiv:1912.04980v2 [cond-mat.quant-gas] 3 Jan 2020

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Section: Introductionmentioning

confidence: 99%

Quantum-Granularity Effect in the Formation of Supermixed Solitons in Ring Lattices

Richaud

Penna

2020

Condensed Matter

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“…For α < 0.8, both the branches continue to soften but at α ≈ 0.7 the branches start to harden. The hardening and softening of the low energy quasiparticle modes have also been observed around the point of phase separation of TBECs in optical lattices [31,32], and due to the change in the geometry and topology of the confining potential [4]. The dispersion curves are computed based on Eq.…”

Section: Resultsmentioning

confidence: 99%

Collective modes in multicomponent condensates with anisotropy

Pal¹,

Roy

Angom³

2018

J. Phys. B: At. Mol. Opt. Phys.

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We report the effects of anisotropy in the confining potential on two component Bose-Einstein condensates (TBECs) through the properties of the low energy quasiparticle excitations. Starting from generalized Gross Pitaevskii equation, we obtain the Bogoliubov de-Gennes (BdG) equation for TBECs using the Hartree-Fock-Bogoliubov (HFB) theory. Based on this theory, we present the influence of radial anisotropy on TBECs in the immiscible or the phase-separated domain. In particular, the TBECs of 85 Rb -87 Rb and 133 Cs -87 Rb TBECs are chosen as specific examples of the two possible interface geometries, shell-structured and side by side, in the immiscible domain. We also show that the dispersion relation for the TBEC shell-structured interface has two branches, and anisotropy modifies the energy scale and structure of the two branches.

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“…If the trap frequency varies with time, the COM no longer oscillates with the trap frequency. In the present case, we will establish the connection between Kohn mode [61][62][63][64] and the existence of the stripe phase, which we discuss in the following section. On the other hand, the equation (6c), known as Reccati equation, can be effectively mapped to LSE.…”

Section: Methodsmentioning

confidence: 95%

Lattice and quintic nonlinearity induced stripe phase in Bose–Einstein condensate under non-inertial and inertial motion

Das

2018

J. Phys. Commun.

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We consider a parametrically forced Bose-Einstein condensate in the combined presence of an optical lattice and harmonic oscillator potential in the mean field approach. A spatial symmetry broken Bosecondensed phase in non-inertial and inertial frame yields a stripe phase in the presence of both cubic and quintic nonlinearities. We show that the existence of such stripe phase solely depends on the interplay between the quintic nonlinearity and the lattice potential. Furthermore, we observe that a time-dependent harmonic oscillator frequency destroys such stripe ordering. A linear stability analysis of the obtained solution is performed and we found that the solution is stable. In order to gain a better understanding of the underlying physics, we compute the energy, showing nonlinear compression of the condensate in some parameter domain.

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Optical-lattice-influenced geometry of quasi-two-dimensional binary condensates and quasiparticle spectra

Cited by 28 publications

References 66 publications

Quantum-Granularity Effect in the Formation of Supermixed Solitons in Ring Lattices

Quantum-Granularity Effect in the Formation of Supermixed Solitons in Ring Lattices

Collective modes in multicomponent condensates with anisotropy

Lattice and quintic nonlinearity induced stripe phase in Bose–Einstein condensate under non-inertial and inertial motion

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